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<div class="title">SpecialFunctionsHalf.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160; </div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#ifndef EIGEN_SPECIALFUNCTIONS_HALF_H</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#define EIGEN_SPECIALFUNCTIONS_HALF_H</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160; </div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &quot;./InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> {</div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span>numext {</div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#if EIGEN_HAS_C99_MATH</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">template</span>&lt;&gt; EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Eigen::half <a class="codeRef" href="../namespaceEigen.html#ac2e6331628bb1989b7be6d7e42827649">lgamma</a>(<span class="keyword">const</span> Eigen::half&amp; a) {</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;  <span class="keywordflow">return</span> Eigen::half(Eigen::numext::lgamma(<span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(a)));</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;}</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">template</span>&lt;&gt; EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Eigen::half <a class="codeRef" href="../namespaceEigen.html#af40db84b3db19fe25fe2f77c429420e5">digamma</a>(<span class="keyword">const</span> Eigen::half&amp; a) {</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keywordflow">return</span> Eigen::half(Eigen::numext::digamma(<span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(a)));</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;}</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">template</span>&lt;&gt; EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Eigen::half <a class="code" href="namespaceEigen.html#ade7c45ba55113cf0c89e33972f3da434">zeta</a>(<span class="keyword">const</span> Eigen::half&amp; x, <span class="keyword">const</span> Eigen::half&amp; q) {</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keywordflow">return</span> Eigen::half(Eigen::numext::zeta(<span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(x), <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(q)));</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;}</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="keyword">template</span>&lt;&gt; EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Eigen::half <a class="code" href="namespaceEigen.html#a7ec2455c3a3bb4b0c1401b25a8480361">polygamma</a>(<span class="keyword">const</span> Eigen::half&amp; n, <span class="keyword">const</span> Eigen::half&amp; x) {</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  <span class="keywordflow">return</span> Eigen::half(Eigen::numext::polygamma(<span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(n), <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(x)));</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;}</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">template</span>&lt;&gt; EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Eigen::half <a class="codeRef" href="../namespaceEigen.html#ac336e0eba2b12dca8b01da1a006566c3">erf</a>(<span class="keyword">const</span> Eigen::half&amp; a) {</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  <span class="keywordflow">return</span> Eigen::half(Eigen::numext::erf(<span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(a)));</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;}</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="keyword">template</span>&lt;&gt; EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Eigen::half <a class="codeRef" href="../namespaceEigen.html#a17bcfbd19ed883ecf581f06ac1eeeb8c">erfc</a>(<span class="keyword">const</span> Eigen::half&amp; a) {</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;  <span class="keywordflow">return</span> Eigen::half(Eigen::numext::erfc(<span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(a)));</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;}</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="keyword">template</span>&lt;&gt; EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Eigen::half <a class="codeRef" href="../namespaceEigen.html#ab7ed113a2dd4a4342c72b550faea308d">ndtri</a>(<span class="keyword">const</span> Eigen::half&amp; a) {</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;  <span class="keywordflow">return</span> Eigen::half(Eigen::numext::ndtri(<span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(a)));</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;}</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="keyword">template</span>&lt;&gt; EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Eigen::half <a class="code" href="namespaceEigen.html#a6e89509c5ff1af076baea462520f231c">igamma</a>(<span class="keyword">const</span> Eigen::half&amp; a, <span class="keyword">const</span> Eigen::half&amp; x) {</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  <span class="keywordflow">return</span> Eigen::half(Eigen::numext::igamma(<span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(a), <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(x)));</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;}</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="keyword">template</span> &lt;&gt;</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Eigen::half <a class="code" href="namespaceEigen.html#ad0b09518c9ef2376690af1b346f77ff1">igamma_der_a</a>(<span class="keyword">const</span> Eigen::half&amp; a, <span class="keyword">const</span> Eigen::half&amp; x) {</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  <span class="keywordflow">return</span> Eigen::half(Eigen::numext::igamma_der_a(<span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(a), <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(x)));</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;}</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="keyword">template</span> &lt;&gt;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Eigen::half <a class="code" href="namespaceEigen.html#afd81653604859fe8e5b09552a7a800c9">gamma_sample_der_alpha</a>(<span class="keyword">const</span> Eigen::half&amp; alpha, <span class="keyword">const</span> Eigen::half&amp; sample) {</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  <span class="keywordflow">return</span> Eigen::half(Eigen::numext::gamma_sample_der_alpha(<span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(alpha), <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(sample)));</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;}</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="keyword">template</span>&lt;&gt; EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Eigen::half <a class="code" href="namespaceEigen.html#a2b1593c0c3f9d1673ae5980ae03e75f1">igammac</a>(<span class="keyword">const</span> Eigen::half&amp; a, <span class="keyword">const</span> Eigen::half&amp; x) {</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;  <span class="keywordflow">return</span> Eigen::half(Eigen::numext::igammac(<span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(a), <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(x)));</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;}</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="keyword">template</span>&lt;&gt; EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Eigen::half <a class="code" href="namespaceEigen.html#a6d7e9b581a1fc3ca3c8aff6a0a69f523">betainc</a>(<span class="keyword">const</span> Eigen::half&amp; a, <span class="keyword">const</span> Eigen::half&amp; b, <span class="keyword">const</span> Eigen::half&amp; x) {</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  <span class="keywordflow">return</span> Eigen::half(Eigen::numext::betainc(<span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(a), <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(b), <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(x)));</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;}</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160; </div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;}  <span class="comment">// end namespace numext</span></div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;}  <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">#endif  </span><span class="comment">// EIGEN_SPECIALFUNCTIONS_HALF_H</span></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div></div>
<div class="ttc" id="anamespaceEigen_html_a17bcfbd19ed883ecf581f06ac1eeeb8c"><div class="ttname"><a href="../namespaceEigen.html#a17bcfbd19ed883ecf581f06ac1eeeb8c">Eigen::erfc</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp&lt; Eigen::internal::scalar_erfc_op&lt; typename Derived::Scalar &gt;, const Derived &gt; erfc(const Eigen::ArrayBase&lt; Derived &gt; &amp;x)</div></div>
<div class="ttc" id="anamespaceEigen_html_a2b1593c0c3f9d1673ae5980ae03e75f1"><div class="ttname"><a href="namespaceEigen.html#a2b1593c0c3f9d1673ae5980ae03e75f1">Eigen::igammac</a></div><div class="ttdeci">const Eigen::CwiseBinaryOp&lt; Eigen::internal::scalar_igammac_op&lt; typename Derived::Scalar &gt;, const Derived, const ExponentDerived &gt; igammac(const Eigen::ArrayBase&lt; Derived &gt; &amp;a, const Eigen::ArrayBase&lt; ExponentDerived &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> SpecialFunctionsArrayAPI.h:92</div></div>
<div class="ttc" id="anamespaceEigen_html_a6d7e9b581a1fc3ca3c8aff6a0a69f523"><div class="ttname"><a href="namespaceEigen.html#a6d7e9b581a1fc3ca3c8aff6a0a69f523">Eigen::betainc</a></div><div class="ttdeci">const TensorCwiseTernaryOp&lt; internal::scalar_betainc_op&lt; typename XDerived::Scalar &gt;, const ADerived, const BDerived, const XDerived &gt; betainc(const ADerived &amp;a, const BDerived &amp;b, const XDerived &amp;x)</div><div class="ttdef"><b>Definition:</b> TensorGlobalFunctions.h:26</div></div>
<div class="ttc" id="anamespaceEigen_html_a6e89509c5ff1af076baea462520f231c"><div class="ttname"><a href="namespaceEigen.html#a6e89509c5ff1af076baea462520f231c">Eigen::igamma</a></div><div class="ttdeci">const Eigen::CwiseBinaryOp&lt; Eigen::internal::scalar_igamma_op&lt; typename Derived::Scalar &gt;, const Derived, const ExponentDerived &gt; igamma(const Eigen::ArrayBase&lt; Derived &gt; &amp;a, const Eigen::ArrayBase&lt; ExponentDerived &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> SpecialFunctionsArrayAPI.h:30</div></div>
<div class="ttc" id="anamespaceEigen_html_a7ec2455c3a3bb4b0c1401b25a8480361"><div class="ttname"><a href="namespaceEigen.html#a7ec2455c3a3bb4b0c1401b25a8480361">Eigen::polygamma</a></div><div class="ttdeci">const Eigen::CwiseBinaryOp&lt; Eigen::internal::scalar_polygamma_op&lt; typename DerivedX::Scalar &gt;, const DerivedN, const DerivedX &gt; polygamma(const Eigen::ArrayBase&lt; DerivedN &gt; &amp;n, const Eigen::ArrayBase&lt; DerivedX &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> SpecialFunctionsArrayAPI.h:114</div></div>
<div class="ttc" id="anamespaceEigen_html_ab7ed113a2dd4a4342c72b550faea308d"><div class="ttname"><a href="../namespaceEigen.html#ab7ed113a2dd4a4342c72b550faea308d">Eigen::ndtri</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp&lt; Eigen::internal::scalar_ndtri_op&lt; typename Derived::Scalar &gt;, const Derived &gt; ndtri(const Eigen::ArrayBase&lt; Derived &gt; &amp;x)</div></div>
<div class="ttc" id="anamespaceEigen_html_ac2e6331628bb1989b7be6d7e42827649"><div class="ttname"><a href="../namespaceEigen.html#ac2e6331628bb1989b7be6d7e42827649">Eigen::lgamma</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp&lt; Eigen::internal::scalar_lgamma_op&lt; typename Derived::Scalar &gt;, const Derived &gt; lgamma(const Eigen::ArrayBase&lt; Derived &gt; &amp;x)</div></div>
<div class="ttc" id="anamespaceEigen_html_ac336e0eba2b12dca8b01da1a006566c3"><div class="ttname"><a href="../namespaceEigen.html#ac336e0eba2b12dca8b01da1a006566c3">Eigen::erf</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp&lt; Eigen::internal::scalar_erf_op&lt; typename Derived::Scalar &gt;, const Derived &gt; erf(const Eigen::ArrayBase&lt; Derived &gt; &amp;x)</div></div>
<div class="ttc" id="anamespaceEigen_html_ad0b09518c9ef2376690af1b346f77ff1"><div class="ttname"><a href="namespaceEigen.html#ad0b09518c9ef2376690af1b346f77ff1">Eigen::igamma_der_a</a></div><div class="ttdeci">const Eigen::CwiseBinaryOp&lt; Eigen::internal::scalar_igamma_der_a_op&lt; typename Derived::Scalar &gt;, const Derived, const ExponentDerived &gt; igamma_der_a(const Eigen::ArrayBase&lt; Derived &gt; &amp;a, const Eigen::ArrayBase&lt; ExponentDerived &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> SpecialFunctionsArrayAPI.h:53</div></div>
<div class="ttc" id="anamespaceEigen_html_ade7c45ba55113cf0c89e33972f3da434"><div class="ttname"><a href="namespaceEigen.html#ade7c45ba55113cf0c89e33972f3da434">Eigen::zeta</a></div><div class="ttdeci">const Eigen::CwiseBinaryOp&lt; Eigen::internal::scalar_zeta_op&lt; typename DerivedX::Scalar &gt;, const DerivedX, const DerivedQ &gt; zeta(const Eigen::ArrayBase&lt; DerivedX &gt; &amp;x, const Eigen::ArrayBase&lt; DerivedQ &gt; &amp;q)</div><div class="ttdef"><b>Definition:</b> SpecialFunctionsArrayAPI.h:158</div></div>
<div class="ttc" id="anamespaceEigen_html_af40db84b3db19fe25fe2f77c429420e5"><div class="ttname"><a href="../namespaceEigen.html#af40db84b3db19fe25fe2f77c429420e5">Eigen::digamma</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp&lt; Eigen::internal::scalar_digamma_op&lt; typename Derived::Scalar &gt;, const Derived &gt; digamma(const Eigen::ArrayBase&lt; Derived &gt; &amp;x)</div></div>
<div class="ttc" id="anamespaceEigen_html_afd81653604859fe8e5b09552a7a800c9"><div class="ttname"><a href="namespaceEigen.html#afd81653604859fe8e5b09552a7a800c9">Eigen::gamma_sample_der_alpha</a></div><div class="ttdeci">const Eigen::CwiseBinaryOp&lt; Eigen::internal::scalar_gamma_sample_der_alpha_op&lt; typename AlphaDerived::Scalar &gt;, const AlphaDerived, const SampleDerived &gt; gamma_sample_der_alpha(const Eigen::ArrayBase&lt; AlphaDerived &gt; &amp;alpha, const Eigen::ArrayBase&lt; SampleDerived &gt; &amp;sample)</div><div class="ttdef"><b>Definition:</b> SpecialFunctionsArrayAPI.h:74</div></div>
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